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Finding the Fourth Proportional to 1,809.66, 2,714.49 and 511.13

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Solution

The fourth proportional to 1,809.66, 2,714.49 and 511.13 is: 766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.66 : 2,714.49 = 511.13 : x
  2. Step 2: Convert to fraction form
    1,809.66/2,714.49 = 511.13/x
  3. Step 3: Cross multiply
    1,809.66x = 2,714.49 × 511.13
  4. Step 4: Simplify right side
    1,809.66x = 1,387,443.70
  5. Step 5: Solve for x
    x = 1,387,443.70/1,809.66
  6. Step 6: Final answer
    x = 766.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.